Non-local parabolic equations with singular (Morrey) time-inhomogeneous drift
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910446724841472 |
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| author | Kinzebulatov, Damir |
| author_facet | Kinzebulatov, Damir |
| contents | We obtain Sobolev regularity estimates for solutions of non-local parabolic equations with locally unbounded drift satisfying some minimal assumptions. These results yield Krylov bound for the corresponding Feller stable process as well as some a priori regularity estimates on solutions of McKean-Vlasov equations. A key element of our arguments is a parabolic operator norm inequality that we prove using some ideas of Adams and Krylov. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08652 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-local parabolic equations with singular (Morrey) time-inhomogeneous drift Kinzebulatov, Damir Analysis of PDEs Probability We obtain Sobolev regularity estimates for solutions of non-local parabolic equations with locally unbounded drift satisfying some minimal assumptions. These results yield Krylov bound for the corresponding Feller stable process as well as some a priori regularity estimates on solutions of McKean-Vlasov equations. A key element of our arguments is a parabolic operator norm inequality that we prove using some ideas of Adams and Krylov. |
| title | Non-local parabolic equations with singular (Morrey) time-inhomogeneous drift |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2405.08652 |